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Simplifying 0 = x5 + -81x3 Reorder the terms: 0 = -81x3 + x5 Solving 0 = -81x3 + x5 Solving for variable 'x'. Remove the zero: 81x3 + -1x5 = -81x3 + x5 + 81x3 + -1x5 Reorder the terms: 81x3 + -1x5 = -81x3 + 81x3 + x5 + -1x5 Combine like terms: -81x3 + 81x3 = 0 81x3 + -1x5 = 0 + x5 + -1x5 81x3 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 81x3 + -1x5 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(81 + -1x2) = 0 Factor a difference between two squares. x3((9 + x)(9 + -1x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-9, 9}
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